By dragging statements from the left column to the right column below, display a complete calculation of f'(1), where f(x) = x². As you order the statements, focus on why each statement is true. Statements to choose from: Drag these statements to the right column. f'(1) = lim f(1+h)-f(1) h Your solution: Put the statements in order in this column and press the Submit Answers button.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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By dragging statements from the left column to the right column below, display a complete calculation of f'(1), where f(x) = x². As you order the
statements, focus on why each statement is true.
Statements to choose from: Drag these
statements to the right column.
f'(1) = lim
h-0
= lim
h→0
= lim
h→0
f(1+h)-f(1)
h
(1+h)² - 1²
h
1+2h+h² - 1
h
= lim
h→0
= lim
2h+h²
h
h(2+ h)
h→0 h
lim (2+ h)
h→0
=2+0=2.
Your solution: Put the statements in order in this
column and press the Submit Answers button.
Transcribed Image Text:By dragging statements from the left column to the right column below, display a complete calculation of f'(1), where f(x) = x². As you order the statements, focus on why each statement is true. Statements to choose from: Drag these statements to the right column. f'(1) = lim h-0 = lim h→0 = lim h→0 f(1+h)-f(1) h (1+h)² - 1² h 1+2h+h² - 1 h = lim h→0 = lim 2h+h² h h(2+ h) h→0 h lim (2+ h) h→0 =2+0=2. Your solution: Put the statements in order in this column and press the Submit Answers button.
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